Gatland will leave his role as Wales head coach at the end of his team’s tournament in Japan and is currently preparing for Sunday’s quarter-final clash with France in Oita.
The 56-year-old has been in charge of leading Wales since his first campaign in the 2008 Six Nations and has had a trophy-laden 11-year spell at the helm.
“Warren’s record speaks for itself with the results and the success he has had and the togetherness of the team, the squad, and the staff,” said Wales skills coach Jenkins.
“He is not just an incredible rugby coach, he is an incredible person as well. He brings so much to this environment. It’s unbelievable, really. It will obviously be incredibly sad to see him go, but it would be nice if we could give ourselves another fortnight in Japan for him and for everyone involved.”
Jenkins has been a mainstay in Gatland’s staff both with Wales and under his guidance with the British & Irish Lions and knows all about how he works.
“Warren is the same no matter who we are playing week to week. It is probably the rest of the coaches he has to calm down,” Jenkins said.
“He is an incredibly smart rugby man and knows the game inside out. He will be prepared for Sunday. It is about being composed and being right by the time the game comes around.
“Warren more often than not makes sure that is the case and I would like to think it will happen again on Sunday.”
If Gatland’s men come out on top they will definitely be in Japan until the tournament ends and will face either the hosts or South Africa in the last four.
The team aren’t looking that far ahead yet as they know the danger in the French side.
Jenkins added: “France beat us eight years ago in Auckland in that 2011 World Cup semi-final. It was a huge game for us and they managed to turn us over.
“It’s a totally different game on Sunday. I’m not too sure what has gone will make much of a difference. It’s a new game and there is a lot at stake. We need to be ready, that’s for sure.
“France have some fantastic players. They will probably be disappointed by their Six Nations performances, but they look like they have turned up here and are ready to go.
“I have no doubt they will be ready to go on Sunday.”